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Statement 1: f(x)=x+cosx is increasing A...

Statement 1: `f(x)=x+cosx` is increasing `AAx in Rdot` Statement 2: If `f(x)` is increasing, then `f^(prime)(x)` may vanish at some finite number of points.

A

Statement I is true, Statement II is also true, Statement II is the correct explanation of statement I.

B

Statemetn I is true, Statement II is also true, Statement II is not correct explanation of Statement I

C

Statement I is true, Statement II is false

D

Statement I is false, Statement II is true

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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-EXAMPLE
  1. If agt0,bgt0,cgt0anda+b+c=abc, then tan^(-1)a+tan^(-1)+tan^(-1)c

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  2. Find the value of x , if x/4 + 1/2 = (8x)/5 + 6

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  3. Statement 1: f(x)=x+cosx is increasing AAx in Rdot Statement 2: If f...

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  4. Consider a DeltaOAB formed by the point O(0,0),A(2,0),B(1,sqrt(3)).P(x...

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  5. Consider a DeltaOAB formed by the point O(0,0),A(2,0),B(1,sqrt(3)).P(x...

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  6. Consider a DeltaOAB formed by the point O(0,0),A(2,0),B(1,sqrt(3)).P(x...

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  7. Let f(x)=ax^(2)+c,a,b,c in R It is given |f(x)le1,AA|x|le1 Now , a...

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  8. Let f(x)=ax^(2)+c,a,b,c in R It is given |f(x)le1,AA|x|le1 Now , a...

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  9. The absolute maximum and minimum values of functions can be found by t...

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  10. The absolute maximum and minimum values of functions can be found by t...

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  11. Let f(x)={:{(max{t^(3)-t^(2)+t+1,0letlex}",",0lexle1),(min{3-t,1lttlex...

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  12. Let f(x)={:{(max{t^(3)-t^(2)+t+1,0letlex}",",0lexle1),(min{3-t,1lttlex...

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  13. Solve , x/3 - x/8 = 5/12

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  14. Find the value of x , (x - 3)/5 + (x - 4)/7 = 6 - (2x - 1)/(35)

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  15. Solve (2x +3)/3 = (7x + 45)/(15)

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  16. Solve , (x^2 - (x + 1)(x + 2))/(5x + 1) = 6

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  17. Prove that (7! - 5!)/(5!) = 41

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  18. If a function (continuos and twice differentiable) is always concave u...

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  19. Solve 3x + 2(x + 2) = 20 - (2x - 5)

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  20. If f(x)={(1)/(x)}andg(x)={x^(2)}, then the number of positive roots sa...

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